Let [1 M 2 -3 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let [1 0] [0 C = {C [1 be an ordered basis for V. a. Write M as a linear combination of elements of C. [1 [1...

Please solve and answer in the same format as the question as it makes it easier to follow. Box answers and do not type it out and I will give you a thumbs up rating if answered correctly.

Chapter 4.1 Question 12

Extracted text: Let [1 M 2 -3 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let [1 0] [0 C = {C [1 be an ordered basis for V. a. Write M as a linear combination of elements of C. [1 [1 0] ГО 1] -3 [1 [0 -1] + b. Let [M]e denote the coordinate representation of M relative to the basis C. Find the coordinate vector representation for M relative to the basis C. Your answer should be a vector of the general form <1,2,3,4>. [M]c=